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 Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 5, Page 833 (Mi zvmmf10036)

Finite element solution of double-diffusive boundary layer flow of viscoelastic nanofluids over a stretching sheet

M. Goyal, R. Bhargava

Department of Mathematics, Indian Institute of Technology, Roorkee, India

Abstract: This paper deals with the double-diffusive boundary layer flow of non-Newtonian nanofluid over a stretching sheet. In this model, where binary nanofluid is used, the Brownian motion and thermophoresis are classified as the main mechanisms which are responsible for the enhancement of the convection features of the nanofluid. The boundary layer equations governed by the partial differential equations are transformed into a set of ordinary differential equations with the help of group theory transformations. The variational finite element method (FEM) is used to solve these ordinary differential equations. We have examined the effects of different controlling parameters, namely, the Brownian motion parameter, the thermophoresis parameter, modified Dufour number, viscoelastic parameter, Prandtl number, regular Lewis number, Dufour Lewis number, and nanofluid Lewis number on the flow field and heat transfer characteristics. Graphical display of the numerical examine are performed to illustrate the influence of various flow parameters on the velocity, temperature, concentration, reduced Nusselt, reduced Sherwood and reduced nanofluid Sherwood number distributions. The present study has many applications in coating and suspensions, movement of biological fluids, cooling of metallic plate, melt-spinning, heat exchangers technology, and oceanography.

Key words: Boundary layer, non-Newtonian nanofluid, double-diffusion, stretching sheet, Brownian motion, Thermophoresis, FEM.

DOI: https://doi.org/10.7868/S0044466914050020

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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:5, 848–863

Bibliographic databases:

UDC: 519.634
Revised: 24.09.2013
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Citation: M. Goyal, R. Bhargava, “Finite element solution of double-diffusive boundary layer flow of viscoelastic nanofluids over a stretching sheet”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 833; Comput. Math. Math. Phys., 54:5 (2014), 848–863

Citation in format AMSBIB
\Bibitem{GoyBha14} \by M.~Goyal, R.~Bhargava \paper Finite element solution of double-diffusive boundary layer flow of viscoelastic nanofluids over a stretching sheet \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2014 \vol 54 \issue 5 \pages 833 \mathnet{http://mi.mathnet.ru/zvmmf10036} \crossref{https://doi.org/10.7868/S0044466914050020} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3211887} \elib{https://elibrary.ru/item.asp?id=21418172} \transl \jour Comput. Math. Math. Phys. \yr 2014 \vol 54 \issue 5 \pages 848--863 \crossref{https://doi.org/10.1134/S0965542514050029} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000336450500011} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84901642842} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. G. C. Rana, R. Chand, “Stability analysis of double-diffusive convection of rivlin-ericksen elastico-viscous nanofluid saturating a porous medium: a revised model”, Forsch. Ing.wes.-Eng. Res., 79:1-2 (2015), 87–95
2. S. Nadeem, R. Mehmood, S. S. Motsa, “Numerical investigation on mhd oblique flow of walter's B type nano fluid over a convective surface”, Int. J. Therm. Sci., 92 (2015), 162–172
3. C. S. K. Raju, N. Sandeepa, A. Malvandi, “Free convective heat transfer of MHD Cu-kerosene nanofluid over a cone with temperature dependent viscosity”, Acta Astronaut., 129 (2016), 419–428
4. B. J. Gireesha, M. Archana, B. C. Prasannakumara, R. S. R. Gorla, O. D. Makinde, “MHD three dimensional double diffusive flow of Casson nanofluid with buoyancy forces and nonlinear thermal radiation over a stretching surface”, Int. J. Numer. Methods Heat Fluid Flow, 27:12 (2017), 2858–2878
5. K. G. Kumar, G. K. Ramesh, B. J. Gireesha, “Impact of thermal radiation on double-diffusive convection flow of Casson fluid over a stretching vertical surface”, Front. Heat Mass Transf., 9 (2017), 32
6. K. G. Kumar, B. J. Gireesha, S. Manjunatha, N. G. Rudraswamy, “Effect of nonlinear thermal radiation on double-diffusive mixed convection boundary layer flow of viscoelastic nanofluid over a stretching sheet”, Int. J. Mech. Mater. Eng., 12 (2017), 18, 1–18
7. P. M. Patil, M. Roy, S. Roy, E. Momoniat, “Triple diffusive mixed convection along a vertically moving surface”, Int. J. Heat Mass Transf., 117 (2018), 287–295
8. K. G. Kumar, B. J. Gireesha, G. K. Ramesh, N. G. Rudraswamy, “Double-diffusive free convective flow of Maxwell nanofluid past a stretching sheet with nonlinear thermal radiation”, J. Nanofluids, 7:3 (2018), 499–508
9. Ali A., Nazir M., Awais M., Aqsa, Malik M.Y., “Stratification Phenomenon in An Inclined Rheology of Ucm Nanomaterial”, Phys. Lett. A, 383:18 (2019), 2201–2206
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